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This mock test of Test: Ratio And Proportion, Indices, Logarithms - 4 for CA Foundation helps you for every CA Foundation entrance exam.
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QUESTION: 1

If x:y =2:3, y:z=4:3 then x:y : y:z is

Solution:

QUESTION: 2

If p/q =r/s=2.5/1.5, the value of ps:qr is

Solution:

QUESTION: 3

The number which has the same ratio to 26 that 6 has to 13 is

Solution:

QUESTION: 4

If (5x-3y)/(5y-3x) =3/4 , the value of x:y is

Solution:

QUESTION: 5

The mean proportional between 12x^{2} and 27y^{2} is

Solution:

QUESTION: 6

If x:y=z:w=2.5/1.5, the value of (x+z)/(y+w) is 0

Solution:

QUESTION: 7

The mean proportional between 25,81 is

Solution:

QUESTION: 8

The fourth proportional to 4,6,8 is

Solution:

QUESTION: 9

If A:B=3:2 and B:C=3:5, then A:B:C is

Solution:

QUESTION: 10

If a/3=b/4=c/7, then a+b+c/c is

Solution:

a/ 3 = b/ 4 = c/7

a/c = 3/ 7 ; b/ c = 4/7

(a+b+c) / c ⇒ a/ c+ b/ c + 1

⇒ 3/7 + 4/7+ 1

⇒ 1 + 1

⇒ 2

QUESTION: 11

Division of Rs. 750 into 3 parts in the ratio 4:5:6 is

Solution:

QUESTION: 12

If A = B/2 = C/5, then A:B:C is

Solution:

QUESTION: 13

The third proportional to 12,18 is

Solution:

Let the third proportion be x

12 : 18 = 18 : x

x = 18*(18/12)

x = 18*(3/2)

x = 54/2

x = 27

QUESTION: 14

In a library, the ratio of number of story books to that of non-story books was 4:3 and total number of story books was 1248. When some more story books were bought, the ratio became 5:3. Find the number of story books bought.

Solution:

QUESTION: 15

If x/y=z/w, implies y/x=w/z, then the process is called

Solution:

QUESTION: 16

If u/v=w/p, then (u-v)/(u+v)=(w-p)/(w+p). The process is called

Solution:

QUESTION: 17

What is the fourth proportional to the numbers 2, 5, 8.

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QUESTION: 18

If p/q=r/s=p-r/q-s, the process is called

Solution:

QUESTION: 19

The sum of the ages of 3 persons is 150 years. 10 years ago their ages were in the ratio 7:8:9. Their present ages are

Solution:

QUESTION: 20

Two numbers are in the ratio 3:4; if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the numbers are

Solution:

QUESTION: 21

If a/b=c/d, implies (a+b)/(a-b) = (c+d)/(c-d), the process is called

Solution:

QUESTION: 22

12, 16, *, 20 are in proportion. Then* is

Solution:

QUESTION: 23

The numbers 14, 16, 35, 42 are not in proportion. The fourth term for which they will be in proportion is

Solution:

QUESTION: 24

4x^{-1/4} is expressed as

Solution:

QUESTION: 25

X^{a-b} x X^{b-c} x X^{c-a} is equal to

Solution:

QUESTION: 26

The value of 2(256)^{-1/8} is

Solution:

QUESTION: 27

Which is True?

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QUESTION: 28

The value of 4/(32)^{1/5} is

Solution:

QUESTION: 29

If x^{1/p} = y ^{1/q} = z^{1/r }and xyz =1 , then the value of p+q+r is

Solution:

QUESTION: 30

The value of (8/27)^{1/3} is

Solution:

QUESTION: 31

{(3^{3})^{2} x (4^{2})^{3} x (5^{3})^{2}}/{(3^{2})^{3} x (4^{3})^{2} x (5^{2})^{3}} is

Solution:

QUESTION: 32

2 ½ . 4 ¾ is equal to

Solution:

**Correct Answer :- b**

**Explanation **: 2^{1}/2 * 4^{1/2}

1 * 2

= 2 (positive integer)

QUESTION: 33

The simplified value of 16x^{-3}y^{2} x 8^{-1}x^{3}y^{-2} is

Solution:

QUESTION: 34

The value of 2 x (32)^{1/5} is

Solution:

QUESTION: 35

The True option is

Solution:

QUESTION: 36

The value of y^{a-b} x y^{b-c}x y^{c-a} x y^{-a-b} is

Solution:

QUESTION: 37

The value of 8^{1/3} is

Solution:

QUESTION: 38

On simplification, 1/(a+a^{m-n }+ a^{m-p}) + 1/(1+a^{n-m }+a^{n-p}) + 1/(1+a^{p-m} +a^{p-n}) is equal to

Solution:

QUESTION: 39

[{(2)^{1/2}. (4)^{3/4}. (8)^{5/6}. (16)^{7/8}. (32)^{9/10}}^{4}]^{3/25} is

Solution:

QUESTION: 40

If four numbers 1/2, 1/3, 1/5, 1/x are proportional then x is

Solution:

### Ratio and Proportion, Indices, Logarithms - 2

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### Ratio and Proportion, Indices, Logarithms - 1

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### Ratio and Proportion, Indices, Logarithms (Part - 1)

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### Ratio and Proportion, Indices, Logarithms (Part - 2)

Doc | 11 Pages

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